Note:
Solve for x in the following equation.
Example 5:
Either
Solve
Solve
The answers are 1.70156211872, -4.70156211872, 1.27491721764 and
-6.27491721764. These answers may or may not be solutions to the original
equation. You must verify each of the answers.
Check the solutions:
Check the answer x=1.70156211872 by substituting 1.70156211872 in the
original equation for x. If the left side of the equation equals the right
side of the equation after the substitution, you have found the correct
answer.
You can also check your answer by graphing
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this example, click on problem.
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Since the left side of the original equation is equal to the right side of
the original equation after 1.70156211872 was substituted for x, the
answer x=1.70156211872 is a solution to the original equation.
Check x=-4.70156211872 by substituting -4.70156211872 in the original
equation for x. If the left side of the equation equals the right side of
the equation after the substitution, you have found the correct
answer.
Since the left side of the original equation is not equal to the right side
of the original equation after -4.70156211872 is substituted for x, the
answer x=-4.70156211872 is a not solution to the original equation.
Check x=1.27491721764 by substituting 1.27491721764 in the original
equation for x. If the left side of the equation equals the right side of
the equation after the substitution, you have found the correct
answer.
Since the left side of the original equation is equal to the right side of
the original equation after 1.27491721764 was substituted for x, the
answer x=1.27491721764 is a solution to the original equation.
Check x=-6.27491721764 by substituting -6.27491721764 in the original
equation for x. If the left side of the equation equals the right side of
the equation after the substitution, you have found the correct
answer.
Since the left side of the original equation is not equal to the right side
of the original equation after -6.27491721764 was substituted for x, the
answer x=-6.27491721764 is not a solution to the original equation. Since
we rounded the solution, the check will not be exact.
The solutions are x=1.70156211872 and 1.27491721764.
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example.
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